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Finding the Fourth Proportional to 556.57, 767.98 and 320.53

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Solution

The fourth proportional to 556.57, 767.98 and 320.53 is: 442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.57 : 767.98 = 320.53 : x
  2. Step 2: Convert to fraction form
    556.57/767.98 = 320.53/x
  3. Step 3: Cross multiply
    556.57x = 767.98 × 320.53
  4. Step 4: Simplify right side
    556.57x = 246,158.56
  5. Step 5: Solve for x
    x = 246,158.56/556.57
  6. Step 6: Final answer
    x = 442.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.